Eigenvalue of (<i>p</i>,<i>q</i>)-Biharmonic System along the Ricci Flow

Abstract

In this paper, we determine the variation formula for the first eigenvalue of (p,q)-biharmonic system on a closed Riemannian manifold. Several monotonic quantities are also derived.

Keywords

• eigenvalue
• <i>p</i>-biharmonic operator
• Ricci flow
• monotonicity